HDMI connections in my experience are very hit and miss, so in case you just got unlucky, has the laptop got a VGA output port as well?How old is the unit?
in case the back light in the LCD has gone, try shining a torch into the bottom left of screen after it has been given enough time to boot into Windows, aim at where the Start button should be and see if you can see any 'ghost' images. you may have to hold the torch 'just so'.